{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YMOUQUI7EP7AGBJ5YJPPPJ5HJE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0da2742b63e881c68a6fcd9c79c65e3ed69d372725af9377726be7774a7400e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-11T07:15:20Z","title_canon_sha256":"59c69a1bfe8e1ca0d606afbb9e23149cf5f946a2d45762b46c8a58638d7900fc"},"schema_version":"1.0","source":{"id":"1112.2327","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2327","created_at":"2026-05-18T04:04:43Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2327v2","created_at":"2026-05-18T04:04:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2327","created_at":"2026-05-18T04:04:43Z"},{"alias_kind":"pith_short_12","alias_value":"YMOUQUI7EP7A","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YMOUQUI7EP7AGBJ5","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YMOUQUI7","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:82e4ad52f5995738704f86e0d6d2441f8ed5c0ef401759f60c29e2f8e80a5115","target":"graph","created_at":"2026-05-18T04:04:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The existence of a minimal measurable length is a common feature of various approaches to quantum gravity such as string theory, loop quantum gravity and black-hole physics. In this scenario, all commutation relations are modified and the Heisenberg uncertainty principle is changed to the so-called Generalized (Gravitational) Uncertainty Principle (GUP). Here, we present a one-dimensional nonperturbative approach to quantum mechanics with minimal length uncertainty relation which implies X=x to all orders and P=p+(1/3)\\beta p^3 to first order of GUP parameter \\beta, where X and P are the gener","authors_text":"Pouria Pedram","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-11T07:15:20Z","title":"New Approach to Nonperturbative Quantum Mechanics with Minimal Length Uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2327","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:aa68090ee5348c5c1b238493551eef50dab7619af20aafd88d6be5afde325281","target":"record","created_at":"2026-05-18T04:04:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0da2742b63e881c68a6fcd9c79c65e3ed69d372725af9377726be7774a7400e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-11T07:15:20Z","title_canon_sha256":"59c69a1bfe8e1ca0d606afbb9e23149cf5f946a2d45762b46c8a58638d7900fc"},"schema_version":"1.0","source":{"id":"1112.2327","kind":"arxiv","version":2}},"canonical_sha256":"c31d48511f23fe03053dc25ef7a7a7490020c4ee6c7763cbb8ebac2d537cda95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c31d48511f23fe03053dc25ef7a7a7490020c4ee6c7763cbb8ebac2d537cda95","first_computed_at":"2026-05-18T04:04:43.359084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:43.359084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AEOAYHMovWlsivz2O5B8OTKQw4/es/PR204Q5hnQXfCfMdmAJq+x3gMm3mHGigxMm7RLS6YXCkQT9S39iBVUBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:43.359550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2327","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa68090ee5348c5c1b238493551eef50dab7619af20aafd88d6be5afde325281","sha256:82e4ad52f5995738704f86e0d6d2441f8ed5c0ef401759f60c29e2f8e80a5115"],"state_sha256":"165ed267675b8f39d42315885b47f0875cf19782c37a2f281bd213c0e30c5291"}